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Finding the Third Proportional to 287,947.41 and 620,044.88

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Solution

The third proportional to 287,947.41 and 620,044.88 is: 1,335,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,947.41 : 620,044.88 = 620,044.88 : x
  2. Step 2: Convert to fraction form
    287,947.41/620,044.88 = 620,044.88/x
  3. Step 3: Cross multiply
    287,947.41x = 620,044.88 × 620,044.88
  4. Step 4: Simplify right side
    287,947.41x = 384,455,647,013.77
  5. Step 5: Solve for x
    x = 384,455,647,013.77/287,947.41
  6. Step 6: Final answer
    x = 1,335,159.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.